A university found that of its students withdraw without completing the introductory statistics course. Assume that students registered for the course

Khaleesi Herbert 2021-02-25 Answered
A university found that of its students withdraw without completing the introductory statistics course. Assume that students registered for the course. a. Compute the probability that or fewer will withdraw (to 4 decimals). b. Compute the probability that exactly will withdraw (to 4 decimals). c. Compute the probability that more than will withdraw (to 4 decimals).
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pivonie8
Answered 2021-02-26 Author has 91 answers
“A university found that of its students withdraw without completing the introductory statistics course” here percentage is not given. Let us assume that p of its student withdraw without completing in the course.The number of students registered for the course is nXBin(n,p)Part (a): Compute the probability that or fewer will withdraw (to 4 decimals)Here let us assume that we have to find the probability that m or fever will withdraw.By the definition of mass function of X is given as:P(X=x)=(nx)×px×(1p)nx
P(Xm)=[P(X=0)+P(X=1)+...+P(X=m1)]Part (b): Compute the probability that exactly will withdraw (to 4 decimals).Here also the exact number is not given. Now assume that exactly m’ will withdraw.The probability that exactly m’ will withdraw:P(X=m)=(nm)×px×(1p)nmPart (c): Compute the probability that more than M will withdraw (to 4 decimals).Assume that the required number is M.The probability that more than M will withdraw:P(X>M)=1P(XM)
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